Clemente Vargas was the son of Domingo de la Trinidad Vargas and Maria Josefa Solis.
He married Maria de Jesus Sosa.
In 1803 he purchased Camargo 40 from Juan Bautista Villarreal for 40 pesos. Juan Bautista Villarreal sold his porcion to two sons and two sons-in-law of the neighboring grantee, Domingo Cristobal de Sosa (41). (Camargo protocolos p. 320)